4. The problem: In a queueing problem modelled as (M/M/2), if L (number of units in the system) = 0.75 units and service rate for each s (server) is 3 units per hour, what is the arrival rate? To answer the problem or question, you were given the following data/statements: (1) The average time a unit spends in the queue is 2.5 mins. (2) The average time a unit spends in the system is 22.5 hours. Which of the following appropriately describes the data/statements provided? Select the corresponding letter and support your answer. A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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4.
The problem: In a queueing problem modelled as (M/M/2), if L (number of units in the system)
0.75 units and service rate for each s (server) is 3 units per hour, what is the arrival rate?
To answer the problem or question, you were given the following data/statements:
=
(1) The average time a unit spends in the queue is 2.5 mins.
(2) The average time a unit spends in the system is 22.5 hours.
Which of the following appropriately describes the data/statements provided? Select the
corresponding letter and support your answer.
A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Transcribed Image Text:4. The problem: In a queueing problem modelled as (M/M/2), if L (number of units in the system) 0.75 units and service rate for each s (server) is 3 units per hour, what is the arrival rate? To answer the problem or question, you were given the following data/statements: = (1) The average time a unit spends in the queue is 2.5 mins. (2) The average time a unit spends in the system is 22.5 hours. Which of the following appropriately describes the data/statements provided? Select the corresponding letter and support your answer. A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient. B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.
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